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Return to Dollar, Generalized Distance Function and the Fisher Productivity Index

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  • José Zofío

    ()

  • Angel Prieto

    ()

Abstract

Exploring the duality between a return to dollar definition of profit and the generalized distance function we establish the relationship between the Laspeyres, Paasche and Fisher productivity indexes and their alternative Malmquist indexes counterparts. By proceeding this way, we propose a consistent decomposition of these productivity indexes into two mutually exclusive components. A technical component represented by the Malmquist index and an economical component which can be identified with the contribution that allocative criteria make to productivity change. With regard to the Fisher index, we indicate how researchers can further decompose the Malmquist technical component rendering explicit the sources of productivity change. We also show how the proposed model can be implemented by means of Data Envelopment Analysis techniques, and illustrate the empirical process with an example data set.

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File URL: http://hdl.handle.net/10.1007/s10108-006-9004-0
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Bibliographic Info

Article provided by Springer in its journal Spanish Economic Review.

Volume (Year): 8 (2006)
Issue (Month): 2 (June)
Pages: 113-138

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Handle: RePEc:spr:specre:v:8:y:2006:i:2:p:113-138

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Keywords: Generalized distance function; Return to dollar; Fisher and Malmquist productivity indexes; C43; C61; D24;

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References

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  1. Fare, Rolf & Grosskopf, Shawna & Zaim, Osman, 2002. "Hyperbolic efficiency and return to the dollar," European Journal of Operational Research, Elsevier, vol. 136(3), pages 671-679, February.
  2. Diewert, W E, 1992. "The Measurement of Productivity," Bulletin of Economic Research, Wiley Blackwell, vol. 44(3), pages 163-98, July.
  3. Moses Abramovitz, 1956. "Resource and Output Trends in the United States Since 1870," NBER Chapters, in: Resource and Output Trends in the United States Since 1870, pages 1-23 National Bureau of Economic Research, Inc.
  4. McFadden, Daniel, 1978. "Cost, Revenue, and Profit Functions," Histoy of Economic Thought Chapters, in: Fuss, Melvyn & McFadden, Daniel (ed.), Production Economics: A Dual Approach to Theory and Applications, volume 1, chapter 1 McMaster University Archive for the History of Economic Thought.
  5. Erwin Diewert & Denis Lawrence, 1999. "Measuring New Zealand’s Productivity," Treasury Working Paper Series 99/05, New Zealand Treasury.
  6. Jean-Paul Chavas & Thomas L. Cox, 1999. "A Generalized Distance Function and the Analysis of Production Efficiency," Wisconsin-Madison Agricultural and Applied Economics Staff Papers 422, Wisconsin-Madison Agricultural and Applied Economics Department.
  7. Ray, Subhash C & Desli, Evangelia, 1997. "Productivity Growth, Technical Progress, and Efficiency Change in Industrialized Countries: Comment," American Economic Review, American Economic Association, vol. 87(5), pages 1033-39, December.
  8. C. Lovell, 2003. "The Decomposition of Malmquist Productivity Indexes," Journal of Productivity Analysis, Springer, vol. 20(3), pages 437-458, November.
  9. E. Grifell-Tatjé & C. Lovell, 1999. "A generalized Malmquist productivity index," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer, vol. 7(1), pages 81-101, June.
  10. Moses Abramovitz, 1956. "Resource and Output Trends in the United States Since 1870," NBER Books, National Bureau of Economic Research, Inc, number abra56-1.
  11. Harberger, Arnold C, 1998. "A Vision of the Growth Process," American Economic Review, American Economic Association, vol. 88(1), pages 1-32, March.
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Cited by:
  1. Jiménez, Fernando & Zabala Iturriagagoitia, Jon Mikel & Zofío, José Luis, 2007. "Efficiency in Public Research Centers: Evaluating the Spanish Food Technology Program," Working Papers in Economic Theory 2007/04, Universidad Autónoma de Madrid (Spain), Department of Economic Analysis (Economic Theory and Economic History).
  2. Lee, Chia-Yen & Johnson, Andrew L., 2012. "Two-dimensional efficiency decomposition to measure the demand effect in productivity analysis," European Journal of Operational Research, Elsevier, vol. 216(3), pages 584-593.
  3. Kumbhakar, Subal C., 2011. "Estimation of production technology when the objective is to maximize return to the outlay," European Journal of Operational Research, Elsevier, vol. 208(2), pages 170-176, January.

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